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Finding the Fourth Proportional to 392,726.66, 589,078.22 and 108,434.59

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Solution

The fourth proportional to 392,726.66, 589,078.22 and 108,434.59 is: 162,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,726.66 : 589,078.22 = 108,434.59 : x
  2. Step 2: Convert to fraction form
    392,726.66/589,078.22 = 108,434.59/x
  3. Step 3: Cross multiply
    392,726.66x = 589,078.22 × 108,434.59
  4. Step 4: Simplify right side
    392,726.66x = 63,876,455,263.63
  5. Step 5: Solve for x
    x = 63,876,455,263.63/392,726.66
  6. Step 6: Final answer
    x = 162,648.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.